a)Combine the parallel resistances to find a single equivalent resistance. b) Us

Question

a)Combine the parallel resistances to find a single equivalent resistance. b) Using this equivalent resistance find a formula for v in terms of R1, R2 and Is. c) Now that you have a formula for, v find formulas for the currents i1 and i2. that involve only R1, R2 and Is.

Again consider the circuit shown, but this time for the specific values R1=15?, R2=10? and Is=4A. a) Use KCL to write an equation relating the currents. b) Use Ohm

Combine the parallel resistances to find a single equivalent resistance. b) Using this equivalent resistance find a formula for v in terms of R1, R2 and Is. c) Now that you have a formula for, v find formulas for the currents i1 and i2. that involve only R1, R2 and Is. Again consider the circuit shown, but this time for the specific values R1=15?, R2=10? and Is=4A. a) Use KCL to write an equation relating the currents. b) Use Ohm's law to write equations relating i1 and i2 to the voltage v. c) Substitute the equations found in part b) into the equation found in part a) and solve for v.

Explanation / Answer

a) R eq = R1 * R2 / (R1 + R2)

b) v = Is * R1 * R2 / (R1 + R2)

c) i1 = Is * R2 / (R1 + R2)

i2 = Is * R1 / (R1+R2)

a) Is = i1 + i2

4 = i1 + i2

b) v = Is * R1 * R2 / (R1 + R2)

= 4 * 15 * 10 / 25 = 24 V

i1 = Is * R2 / (R1 + R2) = 4 * 10/25 = 1.6 A

i2 = Is * R1 / (R1+R2) = 4 * 15/25 = 2.4 A

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